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Finding the Fourth Proportional to 71,399, 98,528.10 and 39,570.86

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Solution

The fourth proportional to 71,399, 98,528.10 and 39,570.86 is: 54,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,399 : 98,528.10 = 39,570.86 : x
  2. Step 2: Convert to fraction form
    71,399/98,528.10 = 39,570.86/x
  3. Step 3: Cross multiply
    71,399x = 98,528.10 × 39,570.86
  4. Step 4: Simplify right side
    71,399x = 3,898,841,651.17
  5. Step 5: Solve for x
    x = 3,898,841,651.17/71,399
  6. Step 6: Final answer
    x = 54,606.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.